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Simplifying 3.2(2z + -3x) + 4(1.1y + x) + -2z = 0 Reorder the terms: 3.2(-3x + 2z) + 4(1.1y + x) + -2z = 0 (-3x * 3.2 + 2z * 3.2) + 4(1.1y + x) + -2z = 0 (-9.6x + 6.4z) + 4(1.1y + x) + -2z = 0 Reorder the terms: -9.6x + 6.4z + 4(x + 1.1y) + -2z = 0 -9.6x + 6.4z + (x * 4 + 1.1y * 4) + -2z = 0 -9.6x + 6.4z + (4x + 4.4y) + -2z = 0 Reorder the terms: -9.6x + 4x + 4.4y + 6.4z + -2z = 0 Combine like terms: -9.6x + 4x = -5.6x -5.6x + 4.4y + 6.4z + -2z = 0 Combine like terms: 6.4z + -2z = 4.4z -5.6x + 4.4y + 4.4z = 0 Solving -5.6x + 4.4y + 4.4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.4y' to each side of the equation. -5.6x + 4.4y + -4.4y + 4.4z = 0 + -4.4y Combine like terms: 4.4y + -4.4y = 0.0 -5.6x + 0.0 + 4.4z = 0 + -4.4y -5.6x + 4.4z = 0 + -4.4y Remove the zero: -5.6x + 4.4z = -4.4y Add '-4.4z' to each side of the equation. -5.6x + 4.4z + -4.4z = -4.4y + -4.4z Combine like terms: 4.4z + -4.4z = 0.0 -5.6x + 0.0 = -4.4y + -4.4z -5.6x = -4.4y + -4.4z Divide each side by '-5.6'. x = 0.7857142857y + 0.7857142857z Simplifying x = 0.7857142857y + 0.7857142857z
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